Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147166 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List / Y. Shi, D. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862655181305413632 |
|---|---|
| author | Shi, Y. Zhang, D. |
| author_facet | Shi, Y. Zhang, D. |
| citation_txt | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List / Y. Shi, D. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.
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| first_indexed | 2025-12-02T02:23:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147166 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T02:23:11Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Shi, Y. Zhang, D. 2019-02-13T18:04:13Z 2019-02-13T18:04:13Z 2011 Rational Solutions of the H3 and Q1 Models in the ABS Lattice List / Y. Shi, D. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 13 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10 DOI:10.3842/SIGMA.2011.046 https://nasplib.isofts.kiev.ua/handle/123456789/147166 In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector. This paper is a contribution to the Proceedings of the Conference “Integrable Systems and Geometry” (August 12–17, 2010, Pondicherry University, Puducherry, India). The full collection is available at http://www.emis.de/journals/SIGMA/ISG2010.html.
 The authors are very grateful to the referees for their invaluable comments. This project is
 supported by the NSF of China (11071157) and Shanghai Leading Academic Discipline Project (No. J50101). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rational Solutions of the H3 and Q1 Models in the ABS Lattice List Article published earlier |
| spellingShingle | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List Shi, Y. Zhang, D. |
| title | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List |
| title_full | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List |
| title_fullStr | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List |
| title_full_unstemmed | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List |
| title_short | Rational Solutions of the H3 and Q1 Models in the ABS Lattice List |
| title_sort | rational solutions of the h3 and q1 models in the abs lattice list |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147166 |
| work_keys_str_mv | AT shiy rationalsolutionsoftheh3andq1modelsintheabslatticelist AT zhangd rationalsolutionsoftheh3andq1modelsintheabslatticelist |